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  • 1 Post By v8archie
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July 3rd, 2017, 03:40 PM   #1
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f'(x) = 4*sqrt(f(x))

f'(x) = 4*sqrt(f(x))

[derivative with respect to x of f(x) = 4 * squareroot of f(x)]

Does anyone know how to solve equations like this? The goal is to solve for f(x). I run into equations like this so often and always get stuck.
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July 3rd, 2017, 04:05 PM   #2
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Separation of variables.

$$y'=4\sqrt{y} \implies \int y^{-\frac12} \, \mathrm dy = 4\int \mathrm dx$$
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Last edited by v8archie; July 3rd, 2017 at 04:07 PM.
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